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101220011200 = 26527111515441
BaseRepresentation
bin101111001000100101…
…1101100110011000000
3100200021012022022222201
41132101023230303000
53124244310324300
6114255544042544
710212216620320
oct1362113546300
9320235268881
10101220011200
1139a2206a620
121774a463454
1397114bc469
144c830bd280
1529763c966a
hex17912eccc0

101220011200 has 336 divisors, whose sum is σ = 312635847168. Its totient is φ = 31334400000.

The previous prime is 101220011147. The next prime is 101220011237. The reversal of 101220011200 is 2110022101.

It is a super-3 number, since 3×1012200112003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18600480 + ... + 18605920.

Almost surely, 2101220011200 is an apocalyptic number.

101220011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156317923584).

101220011200 is an abundant number, since it is smaller than the sum of its proper divisors (211415835968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101220011200 is a wasteful number, since it uses less digits than its factorization.

101220011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220011200 its reverse (2110022101), we get a palindrome (103330033301).

The spelling of 101220011200 in words is "one hundred one billion, two hundred twenty million, eleven thousand, two hundred".